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    "# THE VERTEX COVER PROBLEM WITH APPLICATION IN CYBER SECURITY\n",
    "\n",
    "# _Link Monitoring for Internet-of-Things-Enabled Wireless Sensor Networks_\n",
    "\n",
    "**_Demonstration is partly based on work published May 2022 [[1](#WSN)]_**"
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    "\n",
    "# Intorduction\n",
    "\n",
    "Wireless sensor networks (WSNs) achieving environmental sensing are fundamental communication layer technologies in the Internet of Things.\n",
    "\n",
    "Wireless Sensor Networks (WSNs) have become a cornerstone of modern technology, enabling real-time data collection and communication across a myriad of applications, from environmental monitoring to industrial automation.\n",
    "\n",
    "However, ensuring seamless connectivity while optimizing energy consumption remains a critical challenge.\n",
    "\n",
    "**_<div class=\"alert alert-success\">In this demonstration, we delve into a technique for tackling this challenge: solving WSN link monitoring through the lens of the Minimum Vertex Cover problem using Classiq</div>_**\n"
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    "# The Link Monitoring Problem:\n",
    "\n",
    "Wireless sensor networks (WSNs) do not have a predefined structure to maintain fundamental data-transfer operations. They are crucial communication layer technologies for providing environmental sensing operations in the Internet of Things (IoT). Most of the time, WSNs are deployed for various applications in forests, mines and land borders, where they should bear harsh circumstances.\n",
    "\n",
    "Link monitoring in WSNs involves identifying the optimal set of communication links between sensors to guarantee reliable data transmission while minimizing energy usage. As the network scales, manually selecting these links becomes increasingly complex and time-consuming. This is where the concept of graph theory and the Minimum Vertex Cover problem step in.\n",
    "\n",
    "## Graph Modeling\n",
    "\n",
    "To effectively address the link monitoring challenge, we leverage graph theory to model the WSN. Each sensor is represented as a node, and communication links between sensors are depicted as edges. This graphical representation captures the essence of connectivity in the network, providing a foundation for optimizing link monitoring.\n",
    "\n",
    "A WSN can be modeled as a graph $G(V,E)$, where $V$ and $E$ represent the set of vertices (nodes) and edges (communication links), respectively. A vertex cover of a given undirected graph $G(V,E)$ is a set $S \u2286 V$ such that each $e \\in E$ is incident to at least one vertex of $S$.\n",
    "\n",
    "## Minimum Vertex Cover Concept:\n",
    "\n",
    "At the heart of our approach lies the concept of Minimum Vertex Cover [[2](#MVC)]. This optimization problem aims to find the smallest subset of nodes (vertices) in a graph such that every edge in the graph is incident to at least one of these nodes. In the context of WSNs, the vertices selected for the minimum vertex cover represent the critical sensors that ensure seamless communication throughout the network.\n",
    "\n",
    "**_<div class=\"alert alert-success\">Vertex cover is a very useful structure for various WSN applications such as routing, clustering, backbone formation, link monitoring, replica management, network attack protection, etc</div>_**\n",
    "\n",
    "Considering the link monitoring application, the number of monitor nodes should be minimized since they should be equipped with extra software/hardware solutions to monitor the network traffic. On the other side, the optimization version of the minimum vertex cover problem, which aims to solve the problem by selecting the minimum number of nodes to cover the whole graph, is in the NP-Hard complexity class\n",
    "\n",
    "For example, limiting the link count monitored by a node directly provides energy efficiency for link monitoring applications.\n"
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    }
   },
   "cell_type": "markdown",
   "id": "12a19c7d-53a8-49b5-9e73-fa8e903cfa78",
   "metadata": {
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": [
    "## Working example\n",
    "\n",
    "An example sensor network deployment for a habitat monitoring application is depicted in _Figure 1(a)_, where there are $12$ nodes in the sensing area and node $1$ is the sink node.\n",
    "\n",
    "The graph representation of this network is given in _Figure 1(b)_. In _Figure 1(c)_, link monitoring application for this topology is shown. In this application, each link must be sniffed by one secure point (monitor node) to detect attacks such as packet injection and data manipulation. The red nodes (nodes $1, 3, 4, 5, 6$ and $8$) are secure points that are assigned to control message traffic in _Figure 1(c)_. Red arrows show the assigned links to the monitor nodes in the same figure. For example, the links $(8,9)$ and $(8,10)$ are monitored by node $8$\n",
    "\n",
    "This architecture can also be used in other common operations such as backbone formation, clustering and routing. Red nodes can be cluster heads, and ordinary nodes can send their data to the cluster heads to achieve data aggregation.\n",
    "\n",
    "**The network induced by red nodes is a virtual backbone that can carry messages to the sink node. By accomplishing the clustering and backbone formation operations, the data packets can be routed from ordinary nodes to the sink node.**\n",
    "\n",
    "![WSN_link_monitoring_working_example.jpg](attachment:2cc2328c-cad1-4b49-82f2-79d20b1bd95f.jpg)\n",
    "\n",
    "_<div class=\"alert alert-info\">Figure 1. An example of link monitoring application for the vertex cover problem: (a) Deployment of a sample WSN; (b) Graph representation of the topology; (c) Link monitoring application on the topology</div>_\n",
    "\n",
    "## Minimum Vertex Cover Mathematical Formulation\n",
    "\n",
    "The Min Vertex Cover problem can be formulated as a Quadratic Unconstrained Binary Optimization (QUBO):\n",
    "\n",
    "_Minimize:_\n",
    "$\\sum_{i \\in V} x_i$\n",
    "\n",
    "_Subject to:_\n",
    "$(1 - x_i)(1 - x_j)=0 \\quad  \\forall (i,j) \\in E_0$\n",
    "_and_\n",
    "$x_i \\in \\{0, 1\\} \\quad \\forall i \\in V$\n",
    "\n",
    "_Where:_\n",
    "\n",
    "- $x_i$ is a binary variable that equals 1 if node $i$ is in the cover and 0 otherwise\n",
    "- $E_0$ is the set of all edges (connected and not connected)\n",
    "- $V$ is the set of vertices in the graph\n"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "1e94af24-367a-4eaf-aa5f-e9d3b7bf2ac8",
   "metadata": {},
   "source": [
    "# Solving with Classiq\n",
    "\n",
    "We go through the steps of solving the problem with Classiq, using QAOA algorithm [[2](#QAOA)].\n",
    "\n",
    "## Quantum Approximate Optimization Algorithm (QAOA)\n",
    "\n",
    "QAOA is a quantum algorithm designed to solve combinatorial optimization problems, making it an ideal candidate for tackling the Minimum Vertex Cover problem in large-scale WSNs.\n",
    "\n",
    "Applying QAOA to the modeled graph, we iteratively adjust parameters to navigate the solution space and identify the minimum vertex cover. Quantum computing's unique ability to explore multiple solution candidates simultaneously accelerates the optimization process, significantly outperforming classical algorithms for complex problems.\n",
    "\n",
    "**_<div class=\"alert alert-success\">To solve the Link Monitoring Problem with Classiq we will: 1. Build a Classiq Model 2. Generate a parameterized Quantum Circuit 3. Execute the circuit and optimize parameters to get the optimal solution</div>_**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "46cb6972-5c17-47cc-82f3-c1957c27d07a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:23:13.999643Z",
     "iopub.status.busy": "2024-05-07T15:23:13.999207Z",
     "iopub.status.idle": "2024-05-07T15:23:17.290183Z",
     "shell.execute_reply": "2024-05-07T15:23:17.289529Z"
    }
   },
   "outputs": [],
   "source": [
    "import classiq"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "49a9588b-e79e-4813-b7c5-ac068d7b930c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:23:17.293359Z",
     "iopub.status.busy": "2024-05-07T15:23:17.292676Z",
     "iopub.status.idle": "2024-05-07T15:23:17.296320Z",
     "shell.execute_reply": "2024-05-07T15:23:17.295750Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "from typing import cast\n",
    "\n",
    "import networkx as nx\n",
    "import numpy as np\n",
    "import pyomo.core as pyo\n",
    "from IPython.display import Markdown, display\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8517ef73-faf6-4fd8-9db8-4088551398e0",
   "metadata": {},
   "source": [
    "## Building the working example graph\n",
    "\n",
    "We can start by building and viewing a modeled graph to fit the working example above:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "4831433d-ae80-44a9-a996-68d4f4257380",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:23:17.298831Z",
     "iopub.status.busy": "2024-05-07T15:23:17.298474Z",
     "iopub.status.idle": "2024-05-07T15:23:17.450010Z",
     "shell.execute_reply": "2024-05-07T15:23:17.449332Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import networkx as nx\n",
    "\n",
    "edge_dict = {\n",
    "    1: [2, 3, 4, 5],\n",
    "    2: [1, 3, 4],\n",
    "    3: [1, 2, 7, 12],\n",
    "    4: [1, 2, 6],\n",
    "    5: [1, 11],\n",
    "    6: [4, 8],\n",
    "    7: [3],\n",
    "    8: [6, 9, 10],\n",
    "    9: [8],\n",
    "    10: [8],\n",
    "    11: [5],\n",
    "    12: [3],\n",
    "}\n",
    "\n",
    "WSN_network_graph = nx.Graph()\n",
    "WSN_network_graph.add_nodes_from([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12])\n",
    "for u in range(1, 12):\n",
    "    for v in edge_dict[u]:\n",
    "        WSN_network_graph.add_edge(u, v)\n",
    "\n",
    "nx.draw(WSN_network_graph, with_labels=True, font_color=\"whitesmoke\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f75fd5a9-06a1-48a1-89b8-d96c81c1cc55",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "17ceb232-0c88-4ccf-9dd0-7c2b45d01bca",
   "metadata": {},
   "source": [
    "## Building the optimization model from a graph input\n",
    "\n",
    "To build the optimization model we will utilize Pyomo.\n",
    "Pyomo is a Python-based, open-source optimization modeling language with a diverse set of optimization capabilities.\n",
    "We will formalize our QUBO model into a pyomo model object.\n",
    "\n",
    "**_Classiq seamlessly incorporates the pyomo object into its Model_**\n",
    "\n",
    "We proceed by defining the pyomo model that will be used to build a Classiq Model.\n",
    "Using the mathematical formulation defined above:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "48889b21-557b-481c-80c5-3c0b5c91adb6",
   "metadata": {
    "editable": true,
    "execution": {
     "iopub.execute_input": "2024-05-07T15:23:17.452839Z",
     "iopub.status.busy": "2024-05-07T15:23:17.452350Z",
     "iopub.status.idle": "2024-05-07T15:23:17.457365Z",
     "shell.execute_reply": "2024-05-07T15:23:17.456750Z"
    },
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import pyomo.core as pyo\n",
    "\n",
    "\n",
    "def mvc(graph: nx.Graph) -> pyo.ConcreteModel:\n",
    "    model = pyo.ConcreteModel()\n",
    "    model.x = pyo.Var(graph.nodes, domain=pyo.Binary)\n",
    "    nodes = list(graph.nodes())\n",
    "\n",
    "    @model.Constraint(graph.edges)\n",
    "    def full_cover(model, i, j):\n",
    "        # all sets are covered\n",
    "        return ((1 - model.x[i]) * (1 - model.x[j])) == 0\n",
    "\n",
    "    def obj_expression(model):\n",
    "        # number of nodes selected\n",
    "        return sum(model.x.values())\n",
    "\n",
    "    model.cost = pyo.Objective(rule=obj_expression, sense=pyo.minimize)\n",
    "\n",
    "    return model"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d44cfaba-0269-4b77-a208-cab1a810b1d7",
   "metadata": {},
   "source": [
    "The model contains:\n",
    "\n",
    "- Binary variable declaration for each node (model.x) indicating whether the variable is chosen for the set.\n",
    "- Constraint rule \u2013 ensures that all edges are covered.\n",
    "- Objective rule \u2013 minimize the number of nodes selected."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "e65d5b7a-e8bb-4a02-acda-fa044ba96be9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:23:17.459763Z",
     "iopub.status.busy": "2024-05-07T15:23:17.459400Z",
     "iopub.status.idle": "2024-05-07T15:23:17.463418Z",
     "shell.execute_reply": "2024-05-07T15:23:17.462976Z"
    }
   },
   "outputs": [],
   "source": [
    "mvc_model = mvc(WSN_network_graph)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "345330b2-9c14-41f6-b4ba-e11fb9ca1565",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:23:17.466229Z",
     "iopub.status.busy": "2024-05-07T15:23:17.465317Z",
     "iopub.status.idle": "2024-05-07T15:23:17.472017Z",
     "shell.execute_reply": "2024-05-07T15:23:17.471614Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2 Set Declarations\n",
      "    full_cover_index : Size=1, Index=None, Ordered=False\n",
      "        Key  : Dimen : Domain : Size : Members\n",
      "        None :     2 :    Any :   13 : {(1, 2), (1, 3), (1, 4), (1, 5), (2, 3), (2, 4), (3, 7), (3, 12), (4, 6), (5, 11), (6, 8), (8, 9), (8, 10)}\n",
      "    x_index : Size=1, Index=None, Ordered=False\n",
      "        Key  : Dimen : Domain : Size : Members\n",
      "        None :     1 :    Any :   12 : {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}\n",
      "\n",
      "1 Var Declarations\n",
      "    x : Size=12, Index=x_index\n",
      "        Key : Lower : Value : Upper : Fixed : Stale : Domain\n",
      "          1 :     0 :  None :     1 : False :  True : Binary\n",
      "          2 :     0 :  None :     1 : False :  True : Binary\n",
      "          3 :     0 :  None :     1 : False :  True : Binary\n",
      "          4 :     0 :  None :     1 : False :  True : Binary\n",
      "          5 :     0 :  None :     1 : False :  True : Binary\n",
      "          6 :     0 :  None :     1 : False :  True : Binary\n",
      "          7 :     0 :  None :     1 : False :  True : Binary\n",
      "          8 :     0 :  None :     1 : False :  True : Binary\n",
      "          9 :     0 :  None :     1 : False :  True : Binary\n",
      "         10 :     0 :  None :     1 : False :  True : Binary\n",
      "         11 :     0 :  None :     1 : False :  True : Binary\n",
      "         12 :     0 :  None :     1 : False :  True : Binary\n",
      "\n",
      "1 Objective Declarations\n",
      "    cost : Size=1, Index=None, Active=True\n",
      "        Key  : Active : Sense    : Expression\n",
      "        None :   True : minimize : x[1] + x[2] + x[3] + x[4] + x[5] + x[6] + x[7] + x[8] + x[9] + x[10] + x[11] + x[12]\n",
      "\n",
      "1 Constraint Declarations\n",
      "    full_cover : Size=13, Index=full_cover_index, Active=True\n",
      "        Key     : Lower : Body                   : Upper : Active\n",
      "         (1, 2) :   0.0 :  (1 - x[1])*(1 - x[2]) :   0.0 :   True\n",
      "         (1, 3) :   0.0 :  (1 - x[1])*(1 - x[3]) :   0.0 :   True\n",
      "         (1, 4) :   0.0 :  (1 - x[1])*(1 - x[4]) :   0.0 :   True\n",
      "         (1, 5) :   0.0 :  (1 - x[1])*(1 - x[5]) :   0.0 :   True\n",
      "         (2, 3) :   0.0 :  (1 - x[2])*(1 - x[3]) :   0.0 :   True\n",
      "         (2, 4) :   0.0 :  (1 - x[2])*(1 - x[4]) :   0.0 :   True\n",
      "         (3, 7) :   0.0 :  (1 - x[3])*(1 - x[7]) :   0.0 :   True\n",
      "        (3, 12) :   0.0 : (1 - x[3])*(1 - x[12]) :   0.0 :   True\n",
      "         (4, 6) :   0.0 :  (1 - x[4])*(1 - x[6]) :   0.0 :   True\n",
      "        (5, 11) :   0.0 : (1 - x[5])*(1 - x[11]) :   0.0 :   True\n",
      "         (6, 8) :   0.0 :  (1 - x[6])*(1 - x[8]) :   0.0 :   True\n",
      "         (8, 9) :   0.0 :  (1 - x[8])*(1 - x[9]) :   0.0 :   True\n",
      "        (8, 10) :   0.0 : (1 - x[8])*(1 - x[10]) :   0.0 :   True\n",
      "\n",
      "5 Declarations: x_index x full_cover_index full_cover cost\n"
     ]
    }
   ],
   "source": [
    "mvc_model.pprint()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6eac45c8-6777-4a04-8b07-3a9c8fc00950",
   "metadata": {},
   "source": [
    "Since node $1$ is our WSN sink node we will force it into the Vertex Cover solution as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "5856e0a5-d974-461d-a14f-9066597a3b61",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:23:17.474876Z",
     "iopub.status.busy": "2024-05-07T15:23:17.474117Z",
     "iopub.status.idle": "2024-05-07T15:23:17.477494Z",
     "shell.execute_reply": "2024-05-07T15:23:17.477054Z"
    }
   },
   "outputs": [],
   "source": [
    "mvc_model.x[1].fixed = True\n",
    "mvc_model.x[1].value = 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cc1b5296-f40e-4339-8a0a-a75db56b9896",
   "metadata": {},
   "source": [
    "**We are set to go!**\n",
    "\n",
    "## 1. Build a Classiq Model\n",
    "\n",
    "We will utilize `construct_combinatorial_optimization_model` function to create our Model object.\n",
    "\n",
    "As input for this function we will define the quantum configuration of the QAOA algorithm though the `QAOAConfig` object where the number of repetitions (`num_layers`) is defined:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "816b468f-a59f-4f2f-8337-4a9d66548425",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:23:17.480496Z",
     "iopub.status.busy": "2024-05-07T15:23:17.479550Z",
     "iopub.status.idle": "2024-05-07T15:23:17.483227Z",
     "shell.execute_reply": "2024-05-07T15:23:17.482827Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "from classiq import construct_combinatorial_optimization_model\n",
    "from classiq.applications.combinatorial_optimization import OptimizerConfig, QAOAConfig\n",
    "\n",
    "qaoa_config = QAOAConfig(num_layers=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "db34d5ac-6877-4285-8dec-7bf7b37eb783",
   "metadata": {},
   "source": [
    "For the classical optimization part of the QAOA algorithm we define the classical optimization configuration through the `OptimizerConfig` object where the maximum number of classical iterations (`max_iteration`) and the $\\alpha$-parameter (`alpha_cvar`) for running CVaR-QAOA, an improved variation of the QAOA algorithm [[3](#cvar)], are defined:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "e41d0dd3-4135-4330-9ba3-c1b30c339a74",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:23:17.485570Z",
     "iopub.status.busy": "2024-05-07T15:23:17.485298Z",
     "iopub.status.idle": "2024-05-07T15:23:17.488045Z",
     "shell.execute_reply": "2024-05-07T15:23:17.487626Z"
    },
    "pycharm": {
     "name": "#%%\n"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "optimizer_config = OptimizerConfig(max_iteration=60, alpha_cvar=0.9)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "214d6051-43b8-4b9d-8454-f9cdb62b4cf0",
   "metadata": {},
   "source": [
    "Lastly, we load the Classiq model, based on the problem and algorithm parameters, which we can than use to solve the problem:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "0243019c-6fc3-435f-b6ec-8b4355d6660c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:23:17.490297Z",
     "iopub.status.busy": "2024-05-07T15:23:17.489898Z",
     "iopub.status.idle": "2024-05-07T15:23:17.746104Z",
     "shell.execute_reply": "2024-05-07T15:23:17.745451Z"
    },
    "pycharm": {
     "name": "#%%\n"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "qmod = construct_combinatorial_optimization_model(\n",
    "    pyo_model=mvc_model,\n",
    "    qaoa_config=qaoa_config,\n",
    "    optimizer_config=optimizer_config,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1fcc3812-c9d0-421c-84bb-38047297b33f",
   "metadata": {},
   "source": [
    "Our Classiq Model (`qmod`) already incorporates the QAOA execution logic. However, we can set the quantum backend we wish to execute on so the Classiq synthesis engine will take it into consideration when generating an optimized Quantum Circuit:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "53bc041f-065c-44d2-b220-dafd9d0504ac",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:23:17.749073Z",
     "iopub.status.busy": "2024-05-07T15:23:17.748588Z",
     "iopub.status.idle": "2024-05-07T15:23:17.761345Z",
     "shell.execute_reply": "2024-05-07T15:23:17.760691Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "from classiq import set_execution_preferences\n",
    "from classiq.execution import ClassiqBackendPreferences, ExecutionPreferences\n",
    "\n",
    "backend_preferences = ExecutionPreferences(\n",
    "    backend_preferences=ClassiqBackendPreferences(backend_name=\"aer_simulator\")\n",
    ")\n",
    "\n",
    "qmod = set_execution_preferences(qmod, backend_preferences)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2f925cec-e926-43ce-80f0-66dcdc62af99",
   "metadata": {},
   "source": [
    "**_<div class=\"alert alert-success\">That's it! Our Classiq Model is set!!</div>_**\n",
    "We can write our Model to file and view all quantum configurations and execution logic."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "91fea2e9-0ce2-43cb-850c-3ba65a8a76c4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:23:17.763795Z",
     "iopub.status.busy": "2024-05-07T15:23:17.763543Z",
     "iopub.status.idle": "2024-05-07T15:23:17.779932Z",
     "shell.execute_reply": "2024-05-07T15:23:17.779337Z"
    }
   },
   "outputs": [],
   "source": [
    "from classiq import write_qmod\n",
    "\n",
    "write_qmod(qmod, \"link_monitoring\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "88b8d8e8-65e6-4666-b91f-8611e2b623d0",
   "metadata": {},
   "source": [
    "_The above file can also be loaded to our web IDE for further analysis and ease of execution._\n",
    "\n",
    "## 2. Generate a parameterized Quantum Circuit\n",
    "\n",
    "**_<div class=\"alert alert-success\">Super simple! We can `synthesize` our Model and view the QAOA circuit (ansatz) used to solve the optimization problem:</div>_**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "1d71e29a-5d53-49c4-84b2-45f59be4da31",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:23:17.782486Z",
     "iopub.status.busy": "2024-05-07T15:23:17.782053Z",
     "iopub.status.idle": "2024-05-07T15:23:22.367955Z",
     "shell.execute_reply": "2024-05-07T15:23:22.367201Z"
    },
    "pycharm": {
     "name": "#%%\n"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Opening: https://platform.classiq.io/circuit/8e647b73-8bbd-4cb4-8239-4c56d92fe7ef?version=0.41.0.dev39%2B79c8fd0855\n"
     ]
    }
   ],
   "source": [
    "from classiq import show, synthesize\n",
    "\n",
    "qprog = synthesize(qmod)\n",
    "show(qprog)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "61d44af1-4ef9-4e44-9c37-ee81fb84e36d",
   "metadata": {},
   "source": [
    "## 3. Execute the circuit: optimize parameters to get the optimal solution\n",
    "\n",
    "\n",
    "**_<div class=\"alert alert-success\">To solve the problem using the generated quantum program we just use the `execute` method:</div>_**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "62d12d20-1c80-4a9e-bb6b-b1fddc6cbe40",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:23:22.372053Z",
     "iopub.status.busy": "2024-05-07T15:23:22.371380Z",
     "iopub.status.idle": "2024-05-07T15:23:26.936828Z",
     "shell.execute_reply": "2024-05-07T15:23:26.936057Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "from classiq import execute\n",
    "\n",
    "res = execute(qprog).result()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "620ea6a0-cd05-41a9-a2ed-9631c680d2e6",
   "metadata": {},
   "source": [
    "### Analyzing the execution results\n",
    "\n",
    "#### Energy convergence\n",
    "\n",
    "First, let's check the Energy convergence through the iterations:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "02454398-b229-403c-824a-b1eb539fbc1f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:23:26.942139Z",
     "iopub.status.busy": "2024-05-07T15:23:26.940857Z",
     "iopub.status.idle": "2024-05-07T15:23:26.978333Z",
     "shell.execute_reply": "2024-05-07T15:23:26.977689Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/jpeg": 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",
      "text/plain": [
       "<PIL.JpegImagePlugin.JpegImageFile image mode=RGB size=640x480>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from classiq.execution import VQESolverResult\n",
    "\n",
    "vqe_result = VQESolverResult.parse_obj(res[0].value)\n",
    "vqe_result.convergence_graph"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "615ed612-b835-4bf0-aa92-92d30ef8006d",
   "metadata": {
    "tags": []
   },
   "source": [
    "#### Optimization Results\n",
    "\n",
    "We can also examine the statistics of the algorithm:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "516d78ba-2951-46eb-b1af-efe877513556",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:23:26.981877Z",
     "iopub.status.busy": "2024-05-07T15:23:26.981610Z",
     "iopub.status.idle": "2024-05-07T15:23:27.195225Z",
     "shell.execute_reply": "2024-05-07T15:23:27.194468Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>probability</th>\n",
       "      <th>cost</th>\n",
       "      <th>solution</th>\n",
       "      <th>count</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>58</th>\n",
       "      <td>0.003</td>\n",
       "      <td>5.0</td>\n",
       "      <td>[0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0]</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>0.006</td>\n",
       "      <td>5.0</td>\n",
       "      <td>[1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0]</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>0.005</td>\n",
       "      <td>5.0</td>\n",
       "      <td>[1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0]</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>125</th>\n",
       "      <td>0.002</td>\n",
       "      <td>6.0</td>\n",
       "      <td>[0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0]</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>134</th>\n",
       "      <td>0.002</td>\n",
       "      <td>6.0</td>\n",
       "      <td>[1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0]</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     probability  cost                              solution  count\n",
       "58         0.003   5.0  [0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0]      3\n",
       "14         0.006   5.0  [1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0]      6\n",
       "23         0.005   5.0  [1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0]      5\n",
       "125        0.002   6.0  [0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0]      2\n",
       "134        0.002   6.0  [1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0]      2"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "\n",
    "from classiq.applications.combinatorial_optimization import (\n",
    "    get_optimization_solution_from_pyo,\n",
    ")\n",
    "\n",
    "solution = get_optimization_solution_from_pyo(\n",
    "    mvc_model, vqe_result=vqe_result, penalty_energy=qaoa_config.penalty_energy\n",
    ")\n",
    "optimization_result = pd.DataFrame.from_records(solution)\n",
    "optimization_result.sort_values(by=\"cost\", ascending=True).head(5)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "687f492b-a4a5-49c6-964c-8959b035bb93",
   "metadata": {},
   "source": [
    "And the histogram:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "31a4e74d-b2b8-42e0-826d-de7b51de1fe8",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:23:27.200337Z",
     "iopub.status.busy": "2024-05-07T15:23:27.199061Z",
     "iopub.status.idle": "2024-05-07T15:23:27.683282Z",
     "shell.execute_reply": "2024-05-07T15:23:27.682595Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[<Axes: title={'center': 'cost'}>]], dtype=object)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "optimization_result.hist(\"cost\", weights=optimization_result[\"probability\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a3a890a1-c5d4-409d-b9a3-d7ffd4fdd6c0",
   "metadata": {},
   "source": [
    "#### Plot the optimal solution!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "4326e84b-26f6-4ea9-a53b-090fb3658b8c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:23:27.685910Z",
     "iopub.status.busy": "2024-05-07T15:23:27.685434Z",
     "iopub.status.idle": "2024-05-07T15:23:27.688874Z",
     "shell.execute_reply": "2024-05-07T15:23:27.688277Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "best_solution = optimization_result.solution[optimization_result.cost.idxmin()]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "2449caf6-d3c2-49b1-81cd-0e33e248cc18",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:23:27.691218Z",
     "iopub.status.busy": "2024-05-07T15:23:27.690700Z",
     "iopub.status.idle": "2024-05-07T15:23:27.695160Z",
     "shell.execute_reply": "2024-05-07T15:23:27.694569Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "best_solution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "62751bd4-9e6b-47d1-ae02-448ceb00c0b2",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:23:27.697937Z",
     "iopub.status.busy": "2024-05-07T15:23:27.697397Z",
     "iopub.status.idle": "2024-05-07T15:23:27.701964Z",
     "shell.execute_reply": "2024-05-07T15:23:27.701258Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "NodeView((1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12))"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "WSN_network_graph.nodes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "fed415f4-67ed-4a85-9138-553c75972ac8",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-05-07T15:23:27.703984Z",
     "iopub.status.busy": "2024-05-07T15:23:27.703814Z",
     "iopub.status.idle": "2024-05-07T15:23:27.857509Z",
     "shell.execute_reply": "2024-05-07T15:23:27.856786Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def draw_solution(graph: nx.Graph, solution: list):\n",
    "    solution_nodes = [v for v in graph.nodes if solution[v - 1]]\n",
    "    solution_edges = [\n",
    "        (u, v) for u, v in graph.edges if u in solution_nodes or v in solution_nodes\n",
    "    ]\n",
    "    nx.draw_kamada_kawai(graph, with_labels=True)\n",
    "    nx.draw_kamada_kawai(\n",
    "        graph,\n",
    "        nodelist=solution_nodes,\n",
    "        edgelist=solution_edges,\n",
    "        node_color=\"r\",\n",
    "        edge_color=\"y\",\n",
    "    )\n",
    "\n",
    "\n",
    "draw_solution(WSN_network_graph, best_solution)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cb0811d2-6ffe-4cee-a93c-cfabe8ed0d88",
   "metadata": {},
   "source": [
    "**_<div class=\"alert alert-success\">We obtained a set of vertices that form the minimum vertex cover! These vertices correspond to the critical sensors that need to be monitored and maintained for optimal link connectivity. The outcome is a comprehensive link monitoring strategy that ensures efficient data transmission while conserving energy.</div>_**\n",
    "\n",
    "#### Larger scale models\n",
    "\n",
    "TBD\n",
    "\n",
    "**_<div class=\"alert alert-success\">Solving the WSN link monitoring challenge through the Minimum Vertex Cover problem and QAOA highlights the transformative potential of quantum computing in addressing real-world optimization problems. By combining graph theory, quantum algorithms, and practical applications, we open the door to enhanced connectivity, energy efficiency, and the seamless functioning of wireless sensor networks. As technology continues to evolve, the synergy between these methodologies will shape the future of network optimization.</div>_**"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e82b5953-122a-4707-8ab6-f741f14f13a5",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    },
    "tags": []
   },
   "source": [
    "\n",
    "## References\n",
    "\n",
    "<a id='WSN'>[1]</a>: [Self-Stabilizing Capacitated Vertex Cover Algorithms for Internet-of-Things-Enabled Wireless Sensor Networks](https://www.researchgate.net/publication/360630980_Self-Stabilizing_Capacitated_Vertex_Cover_Algorithms_for_Internet-of-Things-Enabled_Wireless_Sensor_Networks)\n",
    "\n",
    "<a id='MVC'>[2]</a>: [Solving Vertex Cover via Ising Model on a\n",
    "Neuromorphic Processor](https://vmonaco.com/papers/Solving%20Vertex%20Cover%20via%20Ising%20Model%20on%20a%20Neuromorphic%20Processor.pdf)\n",
    "\n",
    "<a id='cvar'>[3]</a>: [Barkoutsos, Panagiotis Kl, et al. \"Improving variational quantum optimization using CVaR.\" Quantum 4 (2020): 256.](https://arxiv.org/abs/1907.04769)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "95b905bf-96c5-4c0e-a6a9-f887ee952632",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.9"
  },
  "vscode": {
   "interpreter": {
    "hash": "a07aacdcc8a415e7643a2bc993226848ff70704ebef014f87460de9126b773d0"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
